15x^2-10x+25=0

Simple and best practice solution for 15x^2-10x+25=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 15x^2-10x+25=0 equation: 


Simplifying
15x2 + -10x + 25 = 0

Reorder the terms:
25 + -10x + 15x2 = 0

Solving
25 + -10x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -2x + 3x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -2x + 3x2)' equal to zero and attempt to solve:

Simplifying
5 + -2x + 3x2 = 0

Solving
5 + -2x + 3x2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
1.666666667 + -0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -0.6666666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -0.6666666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -0.6666666667x + x2 = 0 + -1.666666667
-0.6666666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-0.6666666667x + x2 = -1.666666667

The x term is -0.6666666667x.  Take half its coefficient (-0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
-0.6666666667x + 0.1111111112 + x2 = -1.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + -0.6666666667x + x2 = -1.666666667 + 0.1111111112

Combine like terms: -1.666666667 + 0.1111111112 = -1.5555555558
0.1111111112 + -0.6666666667x + x2 = -1.5555555558

Factor a perfect square on the left side:
(x + -0.3333333334)(x + -0.3333333334) = -1.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 5(x+10)+4=-8(x-1)-10 | | h=16t^2+24t | | 4y-0.3333333(15y-9)=y-7 | | x+4.25=56.875 | | 3(6x+3)=2(3x+1) | | 0.25t= | | 8x-8=7(x-1)-3 | | 12x+12=12x-12 | | -24+3n=-3(n-6) | | -36.72+5.65t= | | 2w^2-9w=26 | | 2y-4=7y | | 2.1y+19.67-0.19y=1.2(3y-7) | | x+16=4x-2 | | A=(5x+3.5)(3+2x) | | 7(k+3)=-18-6k | | 10(x-7)-8=18x-126 | | 75=-9-7x | | cos(2x)+3=5cosx | | 19+2=3x | | 10=4-2n | | 3x+2=-12 | | 3(x-4)+8=8 | | p-.3333=.6666 | | (x*3)=2.5 | | 5x+23=2x-1 | | 4(4+2x)-3(3-11)=21 | | 2c-1x=25 | | 10+3w-9w=-20 | | 48+3x=x+7 | | 126=32-n | | n-.375=.125 |

Equations solver categories